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Finding the Fourth Proportional to 515.97, 712.13 and 329.51

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Solution

The fourth proportional to 515.97, 712.13 and 329.51 is: 454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.97 : 712.13 = 329.51 : x
  2. Step 2: Convert to fraction form
    515.97/712.13 = 329.51/x
  3. Step 3: Cross multiply
    515.97x = 712.13 × 329.51
  4. Step 4: Simplify right side
    515.97x = 234,653.96
  5. Step 5: Solve for x
    x = 234,653.96/515.97
  6. Step 6: Final answer
    x = 454.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.